No, it depends on the developing agent(s) and they vary widely. Each agent has its own slope for the time/temperature curve. The commonly seen dial calculators are designed for MQ developers, but even here each mixture has its own slope depending on the M/Q ratio. Fortunately there is a lot of slop in the photographic process.
The equation is T2 = T1 * exp -k x (t2 - t1) where T1 and T2 are the times and t1 and t2 are the respective temperatures in degrees centigrade. For most common Kodak film developers a value of k = 0.081 can be used, closest for HC-110 and Xtol.